Major objective of this lecture is to present on How Newton derives Kepler’s Law of Areas? Line from the sun to the planet sweeps out equal areas in equal times. Law of Areas derives in three ways. The Law of Orbits: All planets move in elliptical orbits, with the sun at one focus. The Law of Areas: A line that connects a planet to the sun sweeps out equal areas in equal times. The Law of Periods: The square of the period of any planet is proportional to the cube of the semimajor axis of its orbit.